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Finding the Third Proportional to 159,856 and 248,369

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Solution

The third proportional to 159,856 and 248,369 is: 385,892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,856 : 248,369 = 248,369 : x
  2. Step 2: Convert to fraction form
    159,856/248,369 = 248,369/x
  3. Step 3: Cross multiply
    159,856x = 248,369 × 248,369
  4. Step 4: Simplify right side
    159,856x = 61,687,160,161
  5. Step 5: Solve for x
    x = 61,687,160,161/159,856
  6. Step 6: Final answer
    x = 385,892.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.